El Paso is a very warm and welcoming city and that includes the furballs. Dogs are welcome all over El Paso, in bars, in parks ... they can even take a dip to cool off at a dog friendly city water park.
The list posted by dogster.com doesn't list the Texas 10 in any particular order so number 1 may not be the absolute most popular breed in the lone star state, it's just the one they listed first.